Search results for "Regular"

showing 10 items of 855 documents

Hyperboloidal slicing approach to quasinormal mode expansions: The Reissner-Nordström case

2018

We study quasi-normal modes of black holes, with a focus on resonant (or quasi-normal mode) expansions, in a geometric frame based on the use of conformal compactifications together with hyperboloidal foliations of spacetime. Specifically, this work extends the previous study of Schwarzschild in this geometric approach to spherically symmetric asymptotically flat black hole spacetimes, in particular Reissner-Nordstr\"om. The discussion involves, first, the non-trivial technical developments needed to address the choice of appropriate hyperboloidal slices in the extended setting as well as the generalization of the algorithm determining the coefficients in the expansion of the solution in te…

PhysicsSpacetime010308 nuclear & particles physicsGeneral relativitynumbers: 0425dgCauchy distributionalternative theories of gravityConformal map04.30.-w16. Peace & justice01 natural sciencesSlicingGeneral Relativity and Quantum CosmologyTheoretical physicsGeneral Relativity and Quantum Cosmology02.30.MvGeneral relativityRegularization (physics)0103 physical sciencesQuasinormal mode[PHYS.GRQC]Physics [physics]/General Relativity and Quantum Cosmology [gr-qc]010306 general physicsSchwarzschild radiusPhysical Review D
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Data analysis procedures for pulse ELDOR measurements of broad distance distributions

2004

The reliability of procedures for extracting the distance distribution between spins from the dipolar evolution function is studied with particular emphasis on broad distributions. A new numerically stable procedure for fitting distance distributions with polynomial interpolation between sampling points is introduced and compared to Tikhonov regularization in the dipolar frequency and distance domains and to approximate Pake transformation. Distance distributions with only narrow peaks are most reliably extracted by distance-domain Tikhonov regularization, while frequency-domain Tikhonov regularization is favorable for distributions with only broad peaks. For the quantification of distribut…

PhysicsTikhonov regularizationTransformation (function)Distribution (mathematics)Hermite polynomialsSpinsStatistical physicsFunction (mathematics)Atomic and Molecular Physics and OpticsPolynomial interpolationInterpolation
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Detecting filamentary pattern in the cosmic web : a catalogue of filaments for the SDSS

2014

The main feature of the spatial large-scale galaxy distribution is its intricate network of galaxy filaments. This network is spanned by the galaxy locations that can be interpreted as a three-dimensional point distribution. The global properties of the point process can be measured by different statistical methods, which, however, do not describe directly the structure elements. The morphology of the large scale structure, on the other hand, is an important property of the galaxy distribution. Here we apply an object point process with interactions (the Bisous model) to trace and extract the filamentary network in the presently largest galaxy redshift survey, the Sloan Digital Sky Survey (…

Physics[PHYS]Physics [physics]Cosmology and Nongalactic Astrophysics (astro-ph.CO)010308 nuclear & particles physicsFOS: Physical sciencesAstronomyAstronomy and AstrophysicsAstrophysicsAstrophysics::Cosmology and Extragalactic AstrophysicsRedshift survey01 natural sciencesGalaxySpace and Planetary ScienceSupercluster[SDU]Sciences of the Universe [physics]0103 physical sciencesSatellite galaxyBrightest cluster galaxyInteracting galaxyIrregular galaxy[PHYS.ASTR]Physics [physics]/Astrophysics [astro-ph]010303 astronomy & astrophysicsLenticular galaxyAstrophysics::Galaxy AstrophysicsAstrophysics - Cosmology and Nongalactic Astrophysics
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Torus computed tomography

2020

We present a new computed tomography (CT) method for inverting the Radon transform in 2D. The idea relies on the geometry of the flat torus, hence we call the new method Torus CT. We prove new inversion formulas for integrable functions, solve a minimization problem associated to Tikhonov regularization in Sobolev spaces and prove that the solution operator provides an admissible regularization strategy with a quantitative stability estimate. This regularization is a simple post-processing low-pass filter for the Fourier series of a phantom. We also study the adjoint and the normal operator of the X-ray transform on the flat torus. The X-ray transform is unitary on the flat torus. We have i…

Physics::Medical PhysicsComputed tomography01 natural sciencesFourier'n sarjatintegraalilaskentamedicineFOS: MathematicstietokonetomografiaMathematics - Numerical Analysis0101 mathematicsFlat torusFourier seriesRadon transformPhysicsmedicine.diagnostic_testRadon transformApplied MathematicsMathematical analysisTorusNumerical Analysis (math.NA)65R10 65R32 44A12 42B05 46F12Fourier seriesFunctional Analysis (math.FA)regularizationMathematics - Functional Analysis010101 applied mathematicssovellettu matematiikkaRegularization (physics)numeerinen analyysiX-ray tomography
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The Wage Curve, Once More with Feeling: Bayesian Model Averaging of Heckit Models

2018

The sensitivity of the wage curve to sample-selection and model uncertainty was evaluated with Bayesian methods. More than 8000 Heckit wage curves were estimated using data from the 2017 household survey of Bolivia. After averaging the estimates with the posterior probability of each model being true, the wage curve elasticity in Bolivia is close to -0.01. This result suggests that in this country the wage curve is inelastic and does not follow the international statistical regularity of wage curves. 

Physics::Physics and SocietyStatistical regularityWage curveStatistics::Applicationsmedia_common.quotation_subjectBayesian probabilityPosterior probabilityMathematics::History and OverviewWageBayesian inferenceComputer Science::Computers and SocietyHousehold surveylcsh:Financelcsh:HG1-9999EconometricsMathematicsmedia_common
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Patstāvības darbības veicināšana dabas nodarbībās 3 - 4 gadu veciem bērniem

2017

Anita Vitmane. Kvalifikācijas darbs. Patstāvības darbības veicināšana dabas nodarbībās 3-4 gadu veciem bērniem. Kvalifikācijas darba mērķis ir izpētīt patstāvības darbību attīstīšanas iespējas dabas nodarbībās 3-4 gadus veciem bērniem. Kvalifikācijas darba pētāmais objekts bija dabas nodarbības pedagoģiskajā procesā, kuru laikā tika veiks pedagoģisks novērojums, lai noskaidrotu vai bērna patstāvības darbības ievērojami uzlabojas un ir ilgtermiņā noturīgas dabas nodarbībās. Pētījumā iegūtie rezultāti liecina, ka regulārs dabas nodarbību apmeklējums sekmē bērna ātrāku patstāvības darbību apguvi un attīstību. Savukārt, neregularitāte dabas nodarbību apmklējumā, patstāvīgās darbības attīsta dau…

Pirmsskolas pedagoģijaDabas nodarbībasPatstāvībaJaunas iemaņasApmeklējumsRegularitāte
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Iterative Regularization Techniques in Image Reconstruction

2000

In this survey we review recent developments concerning the efficient iterative regularization of image reconstruction problems in atmospheric imaging. We present a number of preconditioners for the minimization of the corresponding Tikhonov functional, and discuss the alternative of terminating the iteration early, rather than adding a stabilizing term in the Tikhonov functional. The methods are examplified for a (synthetic) model problem.

Point spread functionTikhonov regularizationMathematical optimizationConjugate gradient methodMinificationIterative reconstructionRegularization (mathematics)AlgorithmSignal subspaceMathematics
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Absolutely continuous functions in Rn

2005

Abstract For each 0 α 1 we consider a natural n-dimensional extension of the classical notion of absolute continuous function. We compare it with the Malý's and Hencl's definitions. It follows that each α-absolute continuous function is continuous, weak differentiable with gradient in L n , differentiable almost everywhere and satisfies the formula on change of variables.

Polish groupPure mathematicsChange of variablesα-regular intervalsContinuous functionApplied MathematicsMathematical analysisNull set or empty setQuasi-continuous functionAbsolute continuityWeak derivativeAbsolutely continuous functionsSobolev spaceHaar nullSobolev spacesAlmost everywhereDifferentiable functionAnalysisMathematicsJournal of Mathematical Analysis and Applications
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Learning of regular expressions by pattern matching

1995

We consider the problem of restoring regular expressions from good examples. We describe a natural learning algorithm for obtaining a “plausible” regular expression from one example. The algorithm is based on finding the longest substring which can be matched by some part of the so far obtained expression. We believe that the algorithm to a certain extent mimics humans guessing regular expressions from the same sort of examples. We show that for regular expressions of bounded length successful learning takes time linear in the length of the example, provided that the example is “good”. Under certain natural restrictions the run-time of the learning algorithm is polynomial also in unsuccessf…

PolynomialFinite-state machineRegular languageComputer scienceBounded functionRegular expressionPattern matchingAlgorithmExpression (mathematics)Substring
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Exact Voronoi diagram of smooth convex pseudo-circles: General predicates, and implementation for ellipses

2013

International audience; We examine the problem of computing exactly the Voronoi diagram (via the dual Delaunay graph) of a set of, possibly intersecting, smooth convex \pc in the Euclidean plane, given in parametric form. Pseudo-circles are (convex) sites, every pair of which has at most two intersecting points. The Voronoi diagram is constructed incrementally. Our first contribution is to propose robust and efficient algorithms, under the exact computation paradigm, for all required predicates, thus generalizing earlier algorithms for non-intersecting ellipses. Second, we focus on \kcn, which is the hardest predicate, and express it by a simple sparse $5\times 5$ polynomial system, which a…

Polynomialexact computationAerospace Engineering02 engineering and technologyComputer Science::Computational GeometryEllipse[INFO.INFO-CG]Computer Science [cs]/Computational Geometry [cs.CG]01 natural sciencesIncircle and excircles of a triangleCombinatoricsparametric curveTheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITY0202 electrical engineering electronic engineering information engineeringPower diagramVoronoi diagramParametric equationimplementationComputingMethodologies_COMPUTERGRAPHICSMathematicsDiscrete mathematics[INFO.INFO-SC]Computer Science [cs]/Symbolic Computation [cs.SC]Regular polygon020207 software engineeringCGALComputer Graphics and Computer-Aided DesignWeighted Voronoi diagram[ INFO.INFO-SC ] Computer Science [cs]/Symbolic Computation [cs.SC]0104 chemical sciences010404 medicinal & biomolecular chemistryModeling and SimulationAutomotive Engineering[ INFO.INFO-CG ] Computer Science [cs]/Computational Geometry [cs.CG]InCircle predicateVoronoi diagram
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